Answered

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Find the 73 rd term of the arithmetic sequence with first term 18 and 10ᵗʰ term 72 .
a₇₃ = ____.

Sagot :

Answer:

a₇₃ = 450

Step-by-step explanation:

The nth term of an arithmetic sequence is

• [tex]a_{n}[/tex] = a₁ + (n - 1 )d

a₁ is the first term, d the common difference and n the term position

given

a₁₀ = 72 and a₁ = 18 . We require to find d , then

a₁ + 9d = 72 , that is

18 + 9d = 72 ( subtract 18 from both sides )

9d = 54 ( divide both sides by 9 )

d = 6

Thus

a₇₃ = 18 + (72 × 6) = 18 + 432 = 450

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